Do prime numbers still work in base that’s isn’t 10?

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I’ve started reading a lot of sci-fi and the humans always attempt to communicate with aliens using prime numbers, but if they use a counting system that _isn’t_ base10, would the prime numbers still make sense?

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Anonymous 0 Comments

You have 16 rocks. You can arange this in several grids. 4×4, 2×8. 1×16. With 7 rocks there is only one arrangement (ignoring difference between 1×7 and 7×1).

Now think of different bases as just naming numbers a different way. That’s really all it is. So although you’d call 7 rocks something different, it still retains that property of only being able to be arranged one way.

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